Theory HEP Seminar

Monopole operators and dualities in 3d CS matter theories

Mauricio Romo

UCSB

We present a semiclassical method to compute the moduli space of three dimensional Chern-Simons theories with matter by analyzing the classical BPS equations for the theory on the cylinder, which include classical solutions of magnetic monopole operators. These determine the chiral ring of the theory, and thus they provide the complete set of order parameters determining the classical vacua of the theory. We show that the proper quantization of these semiclassical solutions gives us the topology of moduli space. We illustrate it in simple examples. We also analyze the problems arising on the possible generalization of Seiberg-like dualities for 3d CS theories using a Berenstein-Douglas approach in some specific examples.